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Neil Strickland
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Is it turetrue that Allall sphere bundles are boundaryboundaries of Diskdisk bundles?

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user16750
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Is it ture that All sphere bundles are boundary of Disk bundles?

Let $E$ be the total space of the sphere bundle $S^k\to E\to M$, is it true that there exists a disk bundle $D^{k+1}\to N\to M$ such that $E=\partial N$? (where $D^{k+1}$ is the unit disk in $\mathbb R^n$)